After several iterations X becomes stable around 5.354866968.
x=∛(100+10x), x³=100+10x, x³-10x-100=0. The root of this equation is the value of X calculated through the iteration.
X₁=∛100+160=∛260=6.3825 approx.
X₂=∛100+63.825=∛163.825=5.4718 approx.
X₃=∛154.718=5.3684 approx.
X₄=∛153.684=5.3564 approx, so x=5.4 to 1 dec place.